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math.PR2025
Fractional Cointegration of Geometric Functionals
Alessia Caponera, Domenico Marinucci, Anna Vidotto
In this paper, we show that geometric functionals (e.g., excursion area, boundary length) evaluated on excursion sets of sphere-cross-time long memory random fields can exhibit fra…
math.PR2024
Sojourn functionals of time-dependent -random fields on two-point homogeneous spaces
Alessia Caponera, Maurizia Rossi, María Dolores Ruiz Medina
In this note we investigate geometric properties of invariant spatio-temporal random fields defined on a compact two-point homogeneous…
math.PR2022★ 1 cited
Asymptotics for isotropic Hilbert-valued spherical random fields
Alessia Caponera
In this paper, we introduce the concept of isotropic Hilbert-valued spherical random field, thus extending the notion of isotropic spherical random field to an infinite-dimensional…